2 OBJECTIVES 1. Compare and contrast Aristotelian and Galilean conceptions of vertical motion, horizontal motion, and projectile motion; 2. Explain how Galileo inferred that objects in vacuum fall with uniform acceleration, and that force is not necessary to sustain horizontal motion; 3. Explain the distinction between Newton’s 1st Law of Motion & Galileo’s assertion that force is not necessary to sustain horizontal motion; and 4. Cite practical applications of principles involving motion in our day to day living. 3 TERMINOLOGIES. Vertical motion • is referred as the movement of the object against the gravitational pull. • It is the motion that is perpendicular to the straight or flat surface. • It can also be a straight upward and downward motion but the perfect vertical motion does not usually pursue a straight line path. 4 TERMINOLOGIES. Horizontal motion is defined as a projectile motion in a horizontal plane depending upon the force acting on it. Projectile motion is the motion of an object thrown (projected) into the air when, after the initial force that launches the object, air resistance is negligible and the only other force that object experiences is the force of gravity. • The object is called a projectile, and its path is called its trajectory. 5 TERMINOLOGIES. Uniform motion refers to the motion of an object at a constant speed in a straight line, without any acceleration or deceleration. 6 ARISTOTELIAN. Motion as a result of an external force: • According to Aristotle, motion required a continuous force to be exerted on an object. • Objects were believed to have a natural tendency to be at rest, and motion was only possible when a force was actively applied. 8 ARISTOTELIAN. Natural and violent motion: • Natural motion was thought to occur for objects seeking their "natural place" in the universe, such as earth moving downward and fire moving upward. • Violent motion, on the other hand, was believed to result from an external force acting on an object. 9 ARISTOTELIAN. Earth-centric view: • Aristotle's conception of motion was based on a geocentric view of the universe, where the Earth was considered the center of all motion. 10 GALILEAN. Inertia and independent motion: • Galileo introduced the concept of inertia, which stated that an object at rest tends to stay at rest, and an object in motion tends to stay in motion with the same speed and direction unless acted upon by an external force. 11 Inertia: Galileo's concept of inertia states that an object at rest tends to stay at rest, and an object in motion tends to stay in motion with the same speed and direction unless acted upon by an external force. In other words, inertia is the property of matter that resists changes in its state of motion. 12 • Galileo's insight challenged the prevailing Aristotelian view that a continuous force was required to keep an object in motion. • He observed that objects would continue moving on their own, even in the absence of an applied force, as long as no external force acted upon them. 13 GALILEAN. Uniformity and relativity of motion: • Galileo's principle of relativity suggested that the laws of physics are the same in all inertial reference frames. • He argued that the fundamental laws of motion apply uniformly to all objects in motion, regardless of their specific conditions or locations. 14 GALILEAN. Observational and experimental approach: • Galileo supported his ideas with empirical evidence gathered through experiments and observations. • He challenged traditional beliefs by conducting experiments, such as his work with inclined planes, which demonstrated that objects of different masses fall at the same rate in the absence of air resistance. 15 GALILEAN ARISTOTELIAN MOTION AS A RESULT OF AN EXTERNAL FORCE NATURAL AND VIOLENT MOTION EARTH CENTRIC VIEW INERTIA AND INDEPENDENT MOTION SOURCE OF MOTION TYPES OF MOTION VIEW OF THE UNIVERSE EMPERICAL EVIDENCE UNIFORMITY AND RELATIVITY OF MOTION OBSERVATIONAL AND EXPERIMENTAL APPROACH 16 Galileo's experiments led to the rejection of Aristotle's view 17 Inclined Plane Experiment: • • Galileo conducted experiments with inclined planes to study the motion of objects rolling or sliding down a sloping surface. By adjusting the angle of the incline and measuring the time taken for objects to reach the bottom, Galileo made several key observations that contradicted Aristotle's view: 18 a. Uniform Acceleration: Galileo observed that objects rolling down the inclined plane exhibited a uniform acceleration. b. Independence of Mass: Galileo discovered that objects of different masses, when released from the same height on the inclined plane, reached the bottom simultaneously. 19 c. Conservation of Energy: Galileo's experiments also revealed that the potential energy of an object at the top of the inclined plane converted into kinetic energy as it moved downward. 20 • Galileo's experiments, including the inclined plane experiment, directly contradicted Aristotle's view of motion. • The uniform acceleration, independence of mass, and conservation of energy observed in Galileo's experiments provided compelling evidence against Aristotle's claims. • Galileo's empirical approach, publication of his findings, and the subsequent impact on the scientific community led to the rejection of Aristotle's view and marked a significant shift in our understanding of motion. 21